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0=-0.2x^2+1.7x+7
We move all terms to the left:
0-(-0.2x^2+1.7x+7)=0
We add all the numbers together, and all the variables
-(-0.2x^2+1.7x+7)=0
We get rid of parentheses
0.2x^2-1.7x-7=0
a = 0.2; b = -1.7; c = -7;
Δ = b2-4ac
Δ = -1.72-4·0.2·(-7)
Δ = 8.49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.7)-\sqrt{8.49}}{2*0.2}=\frac{1.7-\sqrt{8.49}}{0.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.7)+\sqrt{8.49}}{2*0.2}=\frac{1.7+\sqrt{8.49}}{0.4} $
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